Least Common Multiple of 1486 and 1491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1486 and 1491 the smallest integer that is 2215626 that is divisible by both numbers.

Least Common Multiple (LCM) of 1486 and 1491 is 2215626.

LCM(1486,1491) = 2215626

LCM of 1486 and 1491

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1486 and 1491

LCM of 1486 and 1491 is 2215626

Least common multiple can be found by multiplying the highest exponent prime factors of 1486 and 1491. First we will calculate the prime factors of 1486 and 1491.

Prime Factorization of 1486


2 1486
743 743
1

Prime factors of 1486 are 2,743. Prime factorization of 1486 in exponential form is:

1486 = 21×7431

Prime Factorization of 1491


3 1491
7 497
71 71
1

Prime factors of 1491 are 3, 7,71. Prime factorization of 1491 in exponential form is:

1491 = 31×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1486 and 1491.

LCM(1486,1491) = 21×31×71×711×7431
LCM(1486,1491) = 2215626

Factors of 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1, 2, 743, 1486

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1, 3, 7, 21, 71, 213, 497, 1491

Least Common Multiple of 1486 and 1491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1486 and 1491, than apply into the LCM equation.

GCF(1486,1491) = 1
LCM(1486,1491) = ( 1486 × 1491) / 1
LCM(1486,1491) = 2215626 / 1
LCM(1486,1491) = 2215626

Properties of LCM 1486 and 1491

(i) The LCM of 1491 and 1486 is associative

LCM of 1486 and 1491 = LCM of 1491 and 1486

Related Least Common Multiples of 1486

Related Least Common Multiples of 1491

Frequently Asked Questions on LCM of 1486 and 1491

1. What is the LCM of 1486 and 1491?

Answer: LCM of 1486 and 1491 is 2215626.

2. What are the Factors of 1486?

Answer: Factors of 1486 are 1, 2, 743, 1486. There are 4 integers that are factors of 1486. The greatest factor of 1486 is 1486.

3. What are the Factors of 1491?

Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.

4. How to Find the LCM of 1486 and 1491?

Answer:

Least Common Multiple of 1486 and 1491 = 2215626

Step 1: Find the prime factorization of 1486

1486 = 2 x 743

Step 2: Find the prime factorization of 1491

1491 = 3 x 7 x 71

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2215626 = 2 x 3 x 7 x 71 x 743

Step 4: Therefore, the least common multiple of 1486 and 1491 is 2215626.